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Finding the Fourth Proportional to 5,297.33, 7,944.87 and 2,009.27

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Solution

The fourth proportional to 5,297.33, 7,944.87 and 2,009.27 is: 3,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.33 : 7,944.87 = 2,009.27 : x
  2. Step 2: Convert to fraction form
    5,297.33/7,944.87 = 2,009.27/x
  3. Step 3: Cross multiply
    5,297.33x = 7,944.87 × 2,009.27
  4. Step 4: Simplify right side
    5,297.33x = 15,963,388.94
  5. Step 5: Solve for x
    x = 15,963,388.94/5,297.33
  6. Step 6: Final answer
    x = 3,013.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.